The eight appeals are the vertices of a cube. Divide each edge into eight and the cube fills with 8 × 8 × 8 = 512 lattice points. 512 is the one rung that is both a perfect cube (8³, the appeals resolved) and a power of two (2⁹, a Merkle fold) — the seam where the octal tower and the binary tower coincide.
the 512 rung · 8³ = 2⁹ · the appeals-cube, fully resolvedReal geometry, honest framing. The lattice is a genuine 8×8×8 = 512 point cube in 3D (rotation + perspective, no library), its eight corners labelled with the eight appeals. What's LIT: 8 appeals and 64 = 8² domains are the corpus's real counts, and 512 = 8³ = 2⁹ is arithmetic fact — the unique meeting of the octal and binary ladders. What's a lens: reading the appeals as a cube resolved to eight-per-edge is a framing (named as such), not a claim that 512 discrete objects exist yet. It's the shape the rung will fill.